Name:



Name: ___________________________

Triangle Classification Using GSP

PART A: Classifying Triangles by the number of congruent sides.

1. Go to EDIT MENU and select PREFERNECES. Click the following settings. Then click OK.

Angle Unit: Degrees Precision: Units

Distance Unit: cm Precision: Tenths

Rations: Precision: Tenths

2. Using the LINE SEGMENT TOOL, make a triangle.

3. Use the TEXT TOOL and click on the vertices of the triangle to label them A, B, and C. If the TEXT TOOL does not label the vertices what you intended, double click on the letter given and change it to the appropriate capital letter and click OK.

4. Get the SELECTION ARROW TOOL to measure each side of the triangle to the nearest tenth of a cm, by selecting each line segments of the triangle. Go to the MEASURE MENU, then select LENGTH. Click anywhere on the screen away from the triangle to deselect. The angle measure will appear on the top left corner.

Write them down here: mAB= _____, mAC = ______, mBC = ______

5. A scalene triangle has ____________________.

6. Drag the vertices of triangle ABC until the side measurements indicated that it’s a scalene triangle. Record the measurements below.

mAB = _____, mAC = _____, mBC = _____

7. Use the TEXT TOOL and double click anywhere close to the triangle. Type your first and last name, teacher’s name, hour and label is scalene triangle. After this activity is complete, you must show me and I will initial your packet here…

Ms. Schwarb’s Initials: ________

8. An isosceles triangle has _____________________________.

9. Drag the vertices of triangle ABC until the side measurements indicate that it’s an isosceles triangle. Record the side measurements below and get my initials before you proceed…

mAB = ______, mAC = ______, mBC = ______

Ms. Schwarb’s Initials: _______

10. An equilateral triangle has ____________________.

11. Drag the vertices of triangle ABC until the side measurements indicate that it’s an equilateral triangle. Record the measurements below and get my initials before you proceed.

mAB = ______, mAC = ______, mBC = ______

Ms. Schwarb’s Initials: _______

12. Are all equilateral triangles isosceles triangles? Explain.

13. Area all isosceles triangles equilateral? Explain.

PART B: Classifying Triangles by the types of angles. (Open up a new sketchpad document)

1. Check your settings using the EDIT MENU (they should be the same as part A)

2. Use the LINE SEGMENT TOOL to make a triangle.

3. Use the TEXT TOOL and click on the vertices of the triangle to label them A, B, and C. If the TEXT TOOL does not label the vertices what you intended, double click on the letter given and change it to the appropriate capital letter and click OK.

4. Use the SELECTION ARROW TOOL to measure each angle to the nearest degree by selecting, for example, the vertex points CBA or vertex points BAC to measure angle A. Then go to the MEASURE MENU and select ANGLE. Click anywhere on the screen away from the triangle to deselect. Repeat this process for the other two angles. Click on the vertex points ABC or CBA to measure angle B. Then click on vertex points ACB or BCA to measure angle C. Write the angle measures below and then get my initials.

m∠CAB (or m∠BAC) = ______, m∠ABC (or m∠CBA) = _____, m∠ACB(or m∠BCA) = _____

Total sum of interior angles: _______

Ms. Schwarb’s Initials: ______

5. An acute angle is an angle that is _______________.

6. An acute triangle in a triangle that has ___________________.

7. Using the SELECTION ARROW TOOL, go to the MEASURE MENU and select CALCULATE. Click (do not type in the measurement) on an interior angle measurement, press the addition sign, click on another interior angle measurement, press the addition sign, click on the last interior angle measurement and click OK.

What is the sum of the three interior angles of any triangle? __________

8. From your measurements, determine whether your triangle is a acute triangle. If so, record the angle measurements below. If not, drag the vertices of the triangle ABC until the angle measurements indicate that it’s an acute angle.

m∠CAB (or m∠BAC) = ______, m∠ABC (or m∠CBA) = _____, m∠ACB(or m∠BCA) = _____

Total sum of interior angles: _______

9. Use the TEXT TOOL and double click anywhere close to the triangle. Type your first and last name, teacher’s name, hour and label is scalene triangle. After this activity is complete, you must show me and I will initial your packet here…

Ms. Schwarb’s Initials: ________

10. An equiangular triangle is a triangle that has _________________________________.

11. From your measurements, determine whether your triangle is an equiangular triangle. If so, record its angle measurements below. If not, drag the vertices of triangle ABC until the angle measurements indicate that it’s an equilateral triangle. Record the measurements below.

m∠CAB (or m∠BAC) = ______, m∠ABC (or m∠CBA) = _____, m∠ACB(or m∠BCA) = _____

Total sum of interior angles: _______

12. Get Ms. Schwarb’s Initials now to show that you have completed the packet this far….

Ms. Schwarb’s Initials: _______

13. What is the maximum number of acute angles that a triangle can have? Why?

14. A right triangle is a triangle that has _________________.

15. Drag the vertices of triangle ABC until the angle measurements indicate that it’s a right angle. Record the angle measurements below.

m∠CAB (or m∠BAC) = ______, m∠ABC (or m∠CBA) = _____, m∠ACB(or m∠BCA) = _____

Total sum of interior angles: _______

16. Use the TEXT TOOL and double click anywhere close to the triangle. Type your first and last name, teacher’s name, hour and label is scalene triangle. After this activity is complete, you must show me and I will initial your packet here…

Ms. Schwarb’s Initials: ________

17. What is the maximum number of right angles that a triangle can have? Why?

18. An obtuse angle is an angle that is ________________.

19. An obtuse triangle is a triangle that has ____________________.

20. Drag the vertices of triangle ABC until the angle measurements indicate that it’s an obtuse triangle. Record the angle measurements below.

m∠CAB (or m∠BAC) = ______, m∠ABC (or m∠CBA) = _____, m∠ACB(or m∠BCA) = _____

Total sum of interior angles: _______

21. Get Ms. Schwarb’s Initials now to show how far you have gotten.

Ms. Schwarb’s Initials: ________

22. What is the maximum number of obtuse angles that a triangle can have? Why?

PART C: Classifying triangles by the number of congruent sides AND by the types of angles.

1. Check your settings using the EDIT MENU (they should be the same as part A)

2. Use the LINE SEGMENT TOOL to make a triangle.

3. Use the TEXT TOOL and click on the vertices of the triangle to label them A, B, and C. If the TEXT TOOL does not label the vertices what you intended, double click on the letter given and change it to the appropriate capital letter and click OK.

4. Get the SELECTION ARROW TOOL to measure each side of the triangle to the nearest tenth of a cm, by selecting each line segments of the triangle. Go to the MEASURE MENU, then select LENGTH. Click anywhere on the screen away from the triangle to deselect. The angle measure will appear on the top left corner.

5. Use the SELECTION ARROW TOOL to measure each angle to the nearest degree by selecting, for example, the vertex points CBA or vertex points BAC to measure angle A. Then go to the MEASURE MENU and select ANGLE. Click anywhere on the screen away from the triangle to deselect. Repeat this process for the other two angles. Click on the vertex points ABC or CBA to measure angle B. Then click on vertex points ACB or BCA to measure angle C.

Directions for ALL investigations

IF IT IS POSSIBLE, to make the triangle within each investigation, drag the vertices of your triangle until you have the required triangle. Use the TEXT TOOL and double click anywhere to close the triangle. Type your first and last name, teacher’s name, hour and label it the appropriate name, jot down all of the measurements and then get Ms. Schwarb’s Initials.

IF IT IS NOT POSSIBLE to make the triangle within each investigation, explain the reason in the space provided.

INVESTIGATION 1: Can you make an Obtuse Isosceles Triangle?

INVESTIGATION 2: Can you make an Acute Scalene Triangle?

INVESTIGATION 3: Can you make an Isosceles Right Triangle?

INVESTIGATION 4: Can you make an Acute Right Triangle?

INVESTIGATION 5: Can you make a Scalene Isosceles Triangle?

INVESTIGATION 6: Can you make a Scalene Right Triangle?

INVESTIGATION 7: Can you make an Obtuse Equiangular Triangle?

INVESTIGATION 8: Can you make an Acute Equilateral Equiangular Triangle?

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